IDNLearn.com: Where your questions meet expert advice and community insights. Get the information you need from our experts, who provide reliable and detailed answers to all your questions.
36 number of ways to set out the letters without the i's together.
Order of the letters matters, so, this is a permutation problem.
Now we will determine in how many ways we can arrange these letters.
There are 2 repeating i's, so, we can arrange the letters:
5!/2! = 120/2
= 60 ways.
We also have the following equation:
60 = (number of ways to arrange the letters with the i's together) + (number of ways without the i's together).
To find the no. of ways to set out the letters with the i's together.
We have: [i-i] [d] [g] [t]
We see that with the i's together, we have:
4! = 24 ways to arrange the letters.
Thus, the number of ways to set out the letters without the i's together is:
60 – 24 = 36.
Learn more about letters from:
https://brainly.com/question/3253460
#SPJ4